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$n$-color overpartitions, lattice paths, and multiple basic hypergeometric series
Published 2008-01-01“…We define two classes of multiple basic hypergeometric series $V_{k,t}(a,q)$ and $W_{k,t}(a,q)$ which generalize multiple series studied by Agarwal, Andrews, and Bressoud. …”
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Extension of the <i>q</i>-Pfaff-Saalschütz Theorem by Two Integer Parameters
Published 2022-06-01Subjects: “…basic hypergeometric series…”
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3
New double-sum expansions for certain Mock theta functions
Published 2022-07-01Subjects: “…basic hypergeometric series…”
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4
Terminating Basic Hypergeometric Representations and Transformations for the Askey–Wilson Polynomials
Published 2020-08-01Subjects: “…basic hypergeometric series…”
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Summation Formulae for Quintic <i>q</i>-Series
Published 2022-06-01Subjects: “…basic hypergeometric series…”
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7
The Askey–Wilson Integral and Extensions
Published 2023-04-01Subjects: “…basic hypergeometric series…”
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On Second Order <i>q</i>-Difference Equations Satisfied by Al-Salam–Carlitz I-Sobolev Type Polynomials of Higher Order
Published 2020-08-01Subjects: Get full text
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9
Orthogonal Basic Hypergeometric Laurent Polynomials
Published 2012-12-01“…The Askey-Wilson polynomials are orthogonal polynomials in$x = cos heta$, which are given as a terminating $_4phi_3$ basic hypergeometric series. The non-symmetric Askey-Wilson polynomials are Laurent polynomials in $z=e^{iheta}$, which are given as a sum of two terminating $_4phi_3$'s. …”
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An extension to overpartitions of Rogers-Ramanujan identities for even moduli
Published 2006-01-01“…We investigate class of well-poised basic hypergeometric series $\tilde{J}_{k,i}(a;x;q)$, interpreting these series as generating functions for overpartitions defined by multiplicity conditions. …”
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